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230510020015032 = 23389107916676037
BaseRepresentation
bin110100011010010111001011…
…110111000011001110111000
31010020011112122121222000212220
4310122113023313003032320
5220203134010110440112
62134130501415404040
766360541116426252
oct6432271367031670
91106145577860786
10230510020015032
11674a1828a0745a
1221a2a477383620
139b81003723574
1440cca5cc86cd2
151b9b1644ae98c
hexd1a5cbdc33b8

230510020015032 has 32 divisors (see below), whose sum is σ = 582750050605200. Its totient is φ = 75973339929344.

The previous prime is 230510020015019. The next prime is 230510020015057.

It is a happy number.

230510020015032 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2305100200150323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230510020014993 and 230510020015011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53958335883 + ... + 53958340154.

Almost surely, 2230510020015032 is an apocalyptic number.

It is an amenable number.

230510020015032 is an abundant number, since it is smaller than the sum of its proper divisors (352240030590168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230510020015032 is a wasteful number, since it uses less digits than its factorization.

230510020015032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107916676135 (or 107916676131 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 230510020015032 in words is "two hundred thirty trillion, five hundred ten billion, twenty million, fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 1068 2136 107916676037 215833352074 323750028111 431666704148 647500056222 863333408296 1295000112444 2590000224888 9604584167293 19209168334586 28813752501879 38418336669172 57627505003758 76836673338344 115255010007516 230510020015032